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8013415340 = 2257113506537
BaseRepresentation
bin1110111011010001…
…10000001110101100
3202200110122200021202
413131220300032230
5112402413242330
63403055145032
7402402622640
oct73550601654
922613580252
108013415340
113442400607
121677815178
139a925c3a8
1456039ac20
1531d79a445
hex1dda303ac

8013415340 has 48 divisors (see below), whose sum is σ = 19402431552. Its totient is φ = 2723137536.

The previous prime is 8013415309. The next prime is 8013415369. The reversal of 8013415340 is 435143108.

It is a super-2 number, since 2×80134153402 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237449 + ... + 269088.

It is an arithmetic number, because the mean of its divisors is an integer number (404217324).

Almost surely, 28013415340 is an apocalyptic number.

It is an amenable number.

8013415340 is an abundant number, since it is smaller than the sum of its proper divisors (11389016212).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8013415340 is a wasteful number, since it uses less digits than its factorization.

8013415340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506666 (or 506664 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 8013415340 is about 89517.6817170775. The cubic root of 8013415340 is about 2001.1173206810.

Adding to 8013415340 its reverse (435143108), we get a palindrome (8448558448).

The spelling of 8013415340 in words is "eight billion, thirteen million, four hundred fifteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 113 140 226 452 565 791 1130 1582 2260 3164 3955 7910 15820 506537 1013074 2026148 2532685 3545759 5065370 7091518 10130740 14183036 17728795 35457590 57238681 70915180 114477362 228954724 286193405 400670767 572386810 801341534 1144773620 1602683068 2003353835 4006707670 8013415340